1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
olasank [31]
2 years ago
7

Pls Help! John wants to prove ABC = to DEF. He Knoes AB = DE and AC = DF. With Screenshot

Mathematics
1 answer:
matrenka [14]2 years ago
7 0

Answer:

\angle A \cong \angle D

Step-by-step explanation:

The Side-Angle-Side method cana only be used when information given shows that an included angle which is between two sides of a ∆, as well as the two sides of the ∆ are congruent to the included side and two sides of the other ∆.

Thus, since John already knows that \overline{AB} \cong \overline{DE} and \overline{AC} \cong \overline{DF}, therefore, an additional information showing that the angle between \overline{AB} and \overline{DE} in ∆ABC is congruent to the angle between \overline{AC} and \overline{DF} in ∆DEF.

For John to prove that ∆ABC is congruent to ∆DEF using the Side-Angle-Side method, the additional information needed would be \angle A \cong \angle D.

See attachment for the diagram that has been drawn with the necessary information needed for John to prove that ∆ABC is congruent to ∆DEF.

You might be interested in
Kevin weighed 200 pounds when he started his diet and lost 26 pounds. What percent of his original weight did Kevin lose?
Whitepunk [10]
The answer is C...........................
3 0
3 years ago
Math Help! I NEED IT ASAP!!!! PLEASE!! WILL UPVOTE,LIKE PAGE,LIKE POSTS AND PICS!!
patriot [66]
It is definitely 36 i hope that this helps 
3 0
3 years ago
Read 2 more answers
the lenght of the longer leg of a right triangle is 9 ft longer than the lenght of the shorter leg x. The hypotenuse is 9 ft sho
trasher [3.6K]

Answer:

see below

Step-by-step explanation:  5 23  8 03

the lenght of the longer leg of a right triangle is 9 ft longer than the lenght of the shorter leg x. The hypotenuse is 9 ft shorter than twice the lenght of the shorter leg.

shorter leg    = x

longer leg     = x + 9

hypotenuse  =  2x - 9

Pythagorean theorem  =    a² + b²  = c²

             shorter-leg² + longer-leg² = hypotenuse²

                         x²  +  (x+9)²  = (2x - 9)²                  solve for x

                  x² +  (x+9) (x+9)  =  (2x - 9)(2x - 9)

                 x² +  (x²+18x+81)  =  (4x² - 36x + 81)

                       (2x²+18x+81)  =  (4x² - 36x + 81)

                                          0 =   2x² -54x

                                          0 =  x(2x - 54)  

                           0 = x      and         0 = 2x -54  

                                                       54 = 2x

                                                      27 =  x

shorter leg    = 27        

longer leg     = 36

hypotenuse  =  45

divided all the values by 9 and you get a 3, 4, 5  right triangle, so the answer checks correct  

           

6 0
2 years ago
The Drury Lane Theater has 10 seats in the first row and 38 rows in all. Each successive row contains one additional seat. How m
densk [106]

Answer:

1083 seats

Step-by-step explanation:

this is an arithmetic sequence :

an = an-1 + c

in our case

a1 = 10 (10 seats in the first row)

a2 = a1 + 1 = 10 + 1 = 11

a3 = a2 + 1 = a1 + 1 + 1 = 10 + 1 + 1 = 12

an = an-1 + 1 = a1 + (n-1)×1 = a1 + n - 1 = 10 + n - 1 = 9 + n

a38 = a1 + 37 = 10 + 37 = 47 seats.

altogether this means the sum of the arithmetic sequence of a1 to a38.

the general sum of an arithmetic sequence from a1 to an is

n×(a1 + an)/2

in our case

38×(10 + 47)/2 = 19×57 = 1083 seats

3 0
2 years ago
Please help me answer this question
taurus [48]

Answer:

The answer is21

6 0
2 years ago
Other questions:
  • A cereal box has dimensions of 10 1/2 inches by 7 1/2 inches by 2 1/2 inches. What is the volume of the cereal box?
    10·2 answers
  • An hourglass consists of two sets of congruent composite figures on either end. Each composite figure is made up of a cone and a
    9·1 answer
  • What is |–12|?<br><br> Can you help me please?
    8·2 answers
  • The first house on the street has a lawn that is 300 feet long. The second house
    13·1 answer
  • Referring to the figure, refer to the coordinate system shown and write the ordered pair that names point G. a. (-4, -1) c. (2,
    14·1 answer
  • Plz help me on #1,2,3,4,5,6, and 7 and when u answer plz put what number u are answering
    14·2 answers
  • What is the work and awnser to 4732 dived by 364
    9·1 answer
  • The inverse of a function is a function. always /sometimes /never
    9·2 answers
  • How to see warnings on brainly?<br> I got one, but don't know why. it is not in my notifications.
    7·2 answers
  • There are frogs and koi in a pond, and the number of frogs and the number of koi in the pond are independent. Let X represent th
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!